{"id":74,"date":"2022-05-19T11:21:48","date_gmt":"2022-05-19T10:21:48","guid":{"rendered":"https:\/\/blogs.glowscotland.org.uk\/fi\/applyingmathematics\/?page_id=74"},"modified":"2022-09-01T15:51:41","modified_gmt":"2022-09-01T14:51:41","slug":"prerequisite-knowledge","status":"publish","type":"page","link":"https:\/\/blogs.glowscotland.org.uk\/fi\/applyingmathematics\/prerequisite-knowledge\/","title":{"rendered":"Prerequisite Knowledge"},"content":{"rendered":"

Textbooks for the National 5 Content can be downloaded here: https:\/\/www.freeapplicationsofmaths.co.uk\/n5-apps-textbook-new<\/a><\/p>\n

Week 1 – Finance<\/strong><\/span><\/p>\n

Appreciation, reversing a percentage change, and tax bands (often seen as National Insurance at Nat 5) are essential skills for the finance part of Higher Apps.<\/p>\n

Recommended\u00a0<\/strong>Recourses<\/b><\/p>\n

Understanding percentage change using multipliers:\u00a0 Jo Morgan<\/a>.<\/p>\n

Appreciation and Reverse Percentage:\u00a0 Dr Austin Maths<\/a>. Loads of content here.<\/p>\n

Tax Bands: My advice is to use this site<\/a>. National Insurance tables are best avoided, as at Higher Applications we will later be finding National Insurance per week rather than annually.\u00a0 Give students the table from the LBTT website, and then give them property prices to work out the tax for. The website can be used to check their answers. You might find this worksheet<\/a> helpful.<\/p>\n

When checking answers for income tax, I’ve found the Which? website useful: Which?<\/a><\/p>\n

Challenge: Can students create an excel spreadsheet that can calculate tax for them? By the end of the course, they should be able to!<\/p>\n

Homework 1<\/strong><\/p>\n

A printable version is here: Homework 1<\/a><\/p>\n

Like the questions, but wish you could mix them up? You can find every homework question, plus loads more, here: \u00a0Mr Bryn Jones – Higher Applications Itempool<\/a>.<\/p>\n

Week 2 – Shape\u00a0<\/strong><\/span><\/p>\n

Volume can appear in the modelling part of the course. Precedence tables will also be expanded upon later in the course.<\/p>\n

Recommended\u00a0<\/strong>Recourses<\/b><\/p>\n

Past Paper Volume Questions – Firrhill High<\/a>.<\/p>\n

Precedence Tables- Free Applications of Maths<\/a>.<\/p>\n

Homework 2<\/strong><\/p>\n

A printable version is here: Homework 2<\/a><\/p>\n

Week 3 – Statistics<\/strong><\/span><\/p>\n

Statistics is such a big topic at Higher, it’s worth brushing up on the National 5 content.<\/p>\n

Recommended\u00a0<\/strong>Recourses<\/b><\/p>\n

The Free Applications of Maths website has a nice booklet here.<\/a><\/p>\n

I recommend motivating the use of computer by having students answer some of the questions using Excel. Find the mean and standard deviation, produce boxplots and 5 figure summaries.<\/p>\n

Remember to use the STDEV.S () function<\/strong> for standard deviation, not the STDEV.P function. This is because the formula given at Natation 5 is the sample<\/strong> formula, not the population<\/strong> one.<\/p>\n

Challenge: Have students find the semi-interquartile range in Excel. Hint: There is no function for this, but there is a “quartiles” function.<\/p>\n

Homework 3<\/strong><\/p>\n

A printable version is here: Homework 3<\/a><\/p>\n

Week 4 – Measures<\/strong><\/span><\/p>\n

In the modelling section of the course being able to convert between metric measures is important and worth revisiting here. Especially converting between metric volumes and areas. Tolerance is not assessed in 2023. Students can also be expected to find the gradient given two points.<\/p>\n

Recommended\u00a0<\/strong>Recourses<\/b><\/p>\n

Converting Metric Measures from Jo Morgan<\/a>.<\/p>\n

Converting Metric Units<\/a> – A worksheet from me that covers more metric conversions.<\/p>\n

When recapping gradient, students could be introduced to the idea of rates of change using these Corbett Maths questions: 1<\/a> and 2<\/a>.<\/p>\n

Homework 4<\/strong><\/p>\n

A printable version is here: Homework 4<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"

Textbooks for the National 5 Content can be downloaded here: https:\/\/www.freeapplicationsofmaths.co.uk\/n5-apps-textbook-new Week 1 – Finance Appreciation, reversing a percentage change, and tax bands (often seen as National Insurance at Nat 5) are essential skills for the finance part of Higher Apps. Recommended\u00a0Recourses Understanding percentage change using multipliers:\u00a0 Jo Morgan. Appreciation and Reverse Percentage:\u00a0 Dr Austin … Continue reading Prerequisite Knowledge<\/span> →<\/span><\/a><\/p>\n","protected":false},"author":21296,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-74","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.glowscotland.org.uk\/fi\/applyingmathematics\/wp-json\/wp\/v2\/pages\/74","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.glowscotland.org.uk\/fi\/applyingmathematics\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.glowscotland.org.uk\/fi\/applyingmathematics\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/fi\/applyingmathematics\/wp-json\/wp\/v2\/users\/21296"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.glowscotland.org.uk\/fi\/applyingmathematics\/wp-json\/wp\/v2\/comments?post=74"}],"version-history":[{"count":17,"href":"https:\/\/blogs.glowscotland.org.uk\/fi\/applyingmathematics\/wp-json\/wp\/v2\/pages\/74\/revisions"}],"predecessor-version":[{"id":134,"href":"https:\/\/blogs.glowscotland.org.uk\/fi\/applyingmathematics\/wp-json\/wp\/v2\/pages\/74\/revisions\/134"}],"wp:attachment":[{"href":"https:\/\/blogs.glowscotland.org.uk\/fi\/applyingmathematics\/wp-json\/wp\/v2\/media?parent=74"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}